For the course, you want to the use the gun which you'll have the easiest time shooting quick/accurate shots. Most people will find the DA first shot being a problem, but in the course you'll be required to put the safety on for movement and mag changes - with the Sig, you'll need to decock for those, so in some stages of the course, you'll have two DA shots, all under a time limit.
Do the course with the 1911, and then shoot matches with whatever you like. The whole point of the course is to get through it with as little pain as possible, haha, so why add the extra burden of a DA shot, when you don't need to.